100133002231200 has 216 divisors, whose sum is σ = 362637081139788. Its totient is φ = 25980454563840.

The previous prime is 100133002231181. The next prime is 100133002231247. The reversal of 100133002231200 is 2132200331001.

100133002231200 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 330 + 0 + 22 + 312 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 34344616343184 + 65788385888016 = 5860428^2 + 8111004^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187670917 + ... + 188203716.

Almost surely, 2^{100133002231200} is an apocalyptic number.

100133002231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133002231200 is an abundant number, since it is smaller than the sum of its proper divisors (262504078908588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100133002231200 is a wasteful number, since it uses less digits than its factorization.

100133002231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375874696 (or 375874680 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100133002231200 its reverse (2132200331001), we get a palindrome (102265202562201).

The spelling of 100133002231200 in words is "one hundred trillion, one hundred thirty-three billion, two million, two hundred thirty-one thousand, two hundred".